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Title: Piezoelectric Accelerometer


1
Piezoelectric Accelerometer
ECE 5320 MECHATRONICSSensor Tutorial
  • Prepared by Jaime Fernandez
  • Department of Electrical and Computer Engineering
  • Utah State University

Robert H. Bishop, Mechatronics Handbook, figure
19.3
2
Outline
  • Reference List
  • History
  • Piezoelectric Notions
  • Acceleration Sensing Notions
  • Major Applications
  • Basics Principles
  • Piezoelectric Accelerometer Design
  • Major specifications

3
Reference List
  • Robert H. Bishop, Mechatronics Handbook, 2002,
    CRC Press LLC
  • Wikipedia, http//en.wikipedia.org/wiki/Piezoel
    ectricity
  • Alexander D. Khazan, Transducers and Their
    Elements, Prentice Hall PTR
  • Robert H. Bishop, Mechatronics Handbook,
    section 19.2
  • Curtis D. Johnson, Process Control
    Instrumentation Technology, Prentice Hall PTR,
    National Instruments.

4
History
  • A related property known as pyroelectricity, the
    ability of certain mineral crystals to generate
    electrical charge when heated, was known of as
    early as the 19th century, and was named by David
    Brewster in 1824. In 1880, the brothers Pierre
    Curie and Jacques Curie predicted and
    demonstrated piezoelectricity using tinfoil,
    glue, wire, magnets, and a jeweler's saw.
  • They showed that crystals of tourmaline, quartz,
    topaz, cane sugar, and Rochelle salt (sodium
    potassium tartrate tetrahydrate) generate
    electrical polarization from mechanical stress.

Wikipedia, http//en.wikipedia.org/wiki/Piezoe
lectricity
5
  • Quartz and Rochelle salt exhibited the most
    piezoelectricity. Converse piezoelectricity was
    mathematically deduced from fundamental
    thermodynamic principles by Lippmann in 1881.
  • The Curies immediately confirmed the existence of
    the "converse effect," and went on to obtain
    quantitative proof of the complete reversibility
    of electro-elasto-mechanical deformations in
    piezoelectric crystals. (1)

Wikipedia, http//en.wikipedia.org/wiki/Piezoe
lectricity
6
Piezoelectric Notions
  • Piezoelectricity is the ability of certain
    crystals to generate a voltage in response to
    applied mechanical stress. The word is derived
    from the Greek piezein, which means to squeeze or
    press. The piezoelectric effect is reversible in
    that piezoelectric crystals, when subjected to an
    externally applied voltage, can change shape by a
    small amount. The deformation, about 0.1 of the
    original dimension in PZT, is of the order of
    nanometers, but nevertheless finds useful
    applications such as the production and detection
    of sound, generation of high voltages, electronic
    frequency generation, and ultra fine focusing of
    optical assemblies. (1)
  • In a piezoelectric transducer, the acceleration
    acts on the seismic mass that develops a force on
    piezoelectric quartz, or ceramic crystal, or on
    several crystals. The force causes charges on the
    crystals proportional to the acceleration. (2)

Wikipedia, http//en.wikipedia.org/wiki/Piezoel
ectricity Alexander D. Khazan, Transducers and
Their Elements, Prentice Hall PTR Robert H.
Bishop, Mechatronics Handbook, section 19.2
7
Acceleration Sensing Notions
  • Direct measurement this is done by sensing the
    acceleration directly.
  • Indirect measurement this is done
    differentiating the velocity. In the real world
    is more common integrating a measurement than
    differentiating it.
  • The applicability of these techniques depends on
    the type of motion (rectilinear, angular, or
    curvilinear motion) or equilibrium centered
    vibration. For rectilinear and curvilinear
    motions, the direct measurement accelerometers
    are preferred. However, the angular acceleration
    is usually measured by indirect methods. (3)

Robert H. Bishop, Mechatronics Handbook,
section 19.2 Curtis D. Johnson, Process Control
Instrumentation Technology, Prentice Hall PTR,
National Instruments
8
Major Applications
  • Piezoelectric accelerometer are good sensing
    device for the application were is needed
  • high bandwidth
  • low power consumption
  • ruggedness

As acceleration acts on the mounting surface of
a flat plate shear sensing configuration, the
piezoelectric ceramic element is put into shear
relative to the attached mass.

Robert Shear, Endevco Kavlico Corporation
Piezoelectric Sensors for OEM Applications,
figure 3
9
  • Applications
  • Machine Monitoring. Bearing and gear mesh wear
    typically have characteristic frequencies in the
    210 kHz range.
  • Shock Detection. For applications such as
    shipment monitoring, impact detection, or drop
    testing.
  • Vehicle Dynamics. handling parameters such as
    ride smoothness, vehicle performance, cargo
    transport, and asset tracking in vehicle.
  • Structural Dynamics detect fatigue, resonance,
    and response to load.

10
Basics Principles
  • These devices utilize a mass in direct contact
    with the piezoelectric component or crystal as
    shown in When a varying motion is applied to the
    accelerometer, the crystal experiences a varying
    force excitation (F ma), causing a proportional
    electric charge q to be developed across it.
  • So, where q is the charge developed and dij is
    the piezoelectric coefficient of the material. As
    this equation shows, the output from the
    piezoelectric material is dependent on its
    mechanical properties, dij.

11
  • These accelerometers are useful for
    high-frequency applications. The roll-off
    typically starts near 100 Hz. These active
    devices have no DC response. Since piezoelectric
    accelerometers have comparatively low mechanical
    impedances, their effect on the motion of most
    structures is negligible.

12
  • Mathematically, their transfer function
    approximates a third-order system that can be
    expressed as where Kq is the piezoelectric
    constant related to charge (C cm), t is the time
    constant of the crystal, and s is the Laplace
    variable. It is worth noting that the crystal
    itself does not have a time constant t, but the
    time constant is observed when the accelerometer
    is connected to an electric circuit, for example,
    an RC circuit.

Robert H. Bishop, Mechatronics Handbook,
Robert H. Bishop, Mechatronics Handbook, fig
19.22
13
  • The low-frequency response is limited by the
    piezoelectric characteristic ts / (ts 1), while
    the high frequency response is related to
    mechanical response. The damping factor ? is very
    small, usually less than 0.01 or near zero.
    Accurate low-frequency response requires large t,
    which is usually achieved by use of
    high-impedance voltage amplifiers. At very low
    frequencies thermal effects can have severe
    influences on the operation characteristics.

Robert H. Bishop, Mechatronics Handbook,
14
Piezoelectric Accelerometer Design
Manfred Weber, http//www.mmf.de/
15
Manfred Weber, http//www.mmf.de/
16
Major specifications
Endevco Piezoelectric accelerometer, model
22, lthttp//www.bksv.com/pdf/22.pdfgt
17
Endevco Piezoelectric accelerometer, model
22, lthttp//www.bksv.com/pdf/22.pdfgt
18
Endevco Piezoelectric accelerometer, model
22, lthttp//www.bksv.com/pdf/22.pdfgt
19
Advantages of piezoelectric accelerometer
20
Suppliers Information
  • http//www.columbiaresearchlab.com/index.asp/
  • http//www.endevco.com/
  • http//www.meas-spec.com/myMeas/default/index.asp/
  • http//www.summitinstruments.com/
  • http//www.ferroperm-piezo.com
  • http//www.matsysinc.com/
  • http//www.piezosolutions.net/
  • http//www.sensortech.ca/
  • http//www.vfultrasound.com/
  • http//www.xinetics.com/home.html/
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